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Finding the Fourth Proportional to 4,169.84, 5,755.08 and 3,983

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Solution

The fourth proportional to 4,169.84, 5,755.08 and 3,983 is: 5,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.84 : 5,755.08 = 3,983 : x
  2. Step 2: Convert to fraction form
    4,169.84/5,755.08 = 3,983/x
  3. Step 3: Cross multiply
    4,169.84x = 5,755.08 × 3,983
  4. Step 4: Simplify right side
    4,169.84x = 22,922,483.64
  5. Step 5: Solve for x
    x = 22,922,483.64/4,169.84
  6. Step 6: Final answer
    x = 5,497.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.